Manifold Properties from Causal Sets using Chains

  title={Manifold Properties from Causal Sets using Chains},
  author={J. Kambor and X. Nomaan},
  journal={arXiv: General Relativity and Quantum Cosmology},
We study the utility of chains defined on causal sets in estimating continuum properties like the curvature, the proper time and the spacetime dimension through a numerical analysis. In particular, we show that in $\text{dS}_2$ and $\text{FLRW}_3$ spacetimes the formalism of arXiv:1212.0631 with slight modifications gives the right continuum properties. We also discuss a possible test of manifoldlikeness using this formalism by considering two models of non-manifoldlike causal sets. This is a… Expand


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